What type of number is 12.25-5i

Based on the given information, the estimate for the number of cells in a T75 flask can be calculated by comparing the number of cells in the picture to the field of view area and then scaling it up to the size of the T75 flask.

Given that there are 55 cells in the picture, we can use this information to estimate the density of cells in the field of view. The field of view has dimensions of 1.85 mm x 1.23 mm, which gives an area of 2.7095 square millimeters (\(mm^2\)). To calculate the cell density, we divide the number of cells (55) by the area (2.7095 \(mm^2\)), resulting in an approximate cell density of 20.3 cells per \(mm^2\).

Now, to estimate the number of cells in a T75 flask, we need to know the size of the flask's growth area. A T75 flask typically has a growth area of about 75 \(cm^2\). To convert this to \(mm^2\), we multiply by 100 to get 7500 \(mm^2\).

To estimate the number of cells in the T75 flask, we multiply the cell density (20.3 cells/\(mm^2\)) by the growth area of the flask (7500 \(mm^2\)). This calculation gives us an approximate estimate of 152,250 cells in the T75 flask. It's important to note that this is just an estimate, and actual cell counts may vary depending on various factors such as cell size, confluency, and experimental conditions.

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Total attempt = 90

Successful throws = 81

Unsuccessful = Total attempt - Successful

= 90 - 81

=> 9

To calculate the percentage of unsuccessful, we will use the formula:

Answer:

16 liters of water is needed for the 40lbs of mortar

Step-by-step explanation:

40*0.4=16

Where 40 is the lbs of moarter, and 0.4 is the amount of liters per pound, meaning the answer is 16 liters of water for 40 pounds.

Work Shown:

1 pound of mortar : 0.4 liters of water

40*(1 pound of mortar) : 40*(0.4 liters of water)

40 pounds of mortar : 16 liters of water

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Answer:                          [4.]  [V=Bh]  [7.5]  

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The triangle is the base of the figure. What is the area of the base?

4.

What is the formula for the volume of a prism?

V=Bh.

What is the height of the prism?

7.5

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Step-by-step explanation:

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In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

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Also Theres Proof ↓  [all the Way Down - Screenshot]

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  Message~  

                              Hope    

                                                    you

                                       have

                             an

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Answer: Answer:                          [4.]  [V=Bh]  [7.5]  

It would take Mr. Hows 7.5 hours to grade the tests if he worked alone.

Let's assume Ms. Disher's grading rate is represented by "D" (tests per hour) and Mr. Hows' grading rate is represented by "H" (tests per hour).

We are given the following information:

Ms. Disher's grading rate:

D = 1 set of tests / 5 hours

D = 1/5 sets of tests per hour

Ms. Disher and Mr. Hows' combined grading rate:

(D + H) = 1 set of tests / 3 hours

(D + H) = 1/3 sets of tests per hour

To find Mr. Hows' grading rate, we can subtract Ms. Disher's grading rate from their combined grading rate:

H = (D + H) - D

H = 1/3 - 1/5

H = (5 - 3) / (3 × 5)

H = 2 / 15 sets of tests per hour

To determine how long it would take Mr. Hows to grade the tests alone, we can use his grading rate:

1 set of tests / (2/15 sets of tests per hour) = 15/2 hours

15/2 hours = 7.5 hours

Therefore, it would take Mr. Hows 7.5 hours to grade the tests if he worked alone.

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Answer:

18 cm and 42 cm

Step-by-step explanation:

a = wl

7w = 3l, then l = 7/3w

756 = w(7/3w)

756 = 7/3w²

w² = 324

w = 18

l = 42

Answer:

x = 1/2

Step-by-step explanation:

28x + 1 = 32x - 1 <== subtract 28x from both sides

-28x      -28x

1 = 4x - 1 <== add 1 to both sides

+ 1      + 1

2 = 4x <== divide both sides by 4 to isolate the variable

/4   /4

1/2 = x

Hope this helps!

\( \Large{\boxed{\sf x = \dfrac{1}{2} }} \)

\( \\ \)

Given equation:

\( \sf 28x + 1 = 32x - 1 \)

\( \\ \)

Subtract 28x from each side :

\( \sf 28x + 1 - 28x = 32x - 1 - 28x \\ \\ \sf 1 = 4x - 1 \)

\( \\ \)

Add 1 to both sides:

\( \sf 1 + 1 = 4x \\ \\ \sf 2 = 4x \)

\( \\ \)

Divide both sides by 4:

\( \sf \dfrac{2}{4} = \dfrac{4x}{4} \\ \\ \\ \boxed{\boxed{\sf x = \dfrac{1}{2} }} \)

\( \\ \\ \)

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Answer:

About 113,097.34 units

Step-by-step explanation:

           The volume of a sphere can be found with the equation V = \(\frac{4}{3}\)πr³ when r is the radius.

V = \(\frac{4}{3}\)πr³

V = \(\frac{4}{3}\)π(30)³

V ≈ 113,097.34 units

Here are all possible rolls:  Count them, there are 36

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)  

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)  

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Answer:

Step-by-step explanation:

Rolling 2 dice gives a total of 36 possible outcomes.

Here is the sample space when we roll 2 dice:

The value of the expression is,

⇒ \(b^{- 4/5}\)

We have to given that;

The expression is,

⇒ \(\frac{b^{1/5} }{b}\)

Now, We can simplify the expression as;

⇒ \(\frac{b^{1/5} }{b}\)

⇒ \(b^{\frac{1}{5}- 1 }\)

⇒ \(b^{- 4/5}\)

Thus, The value of the expression is,

⇒ \(b^{- 4/5}\)

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The total interest earned will be $23,581.71. The amount of the ending account balance that comes from deposits is $68,640.00. The ending account balance will be $92,221.71.

Given that Luca found an ordinary annuity that earns 3.4%. He will deposit $220.00​ each month into his account for the next 26 years. We are to determine the total interest earned, the ending account balance, and the amount of the ending account balance that comes from deposits.

To find the total interest earned:

Total interest earned

= Total Deposits - Total Principal

Here, Monthly deposit

= PMT = $220.00Interest rate

= i = 3.4%

= 0.034

Time = n = 26 years

Total deposits

= PMT * n * 12 = $220 * 26 * 12

= $68,640.00

Total Principal

= PMT * (((1 + i)^n - 1) / i)= $220 * (((1 + 0.034)^312 - 1) / 0.034)

= $45,058.29

Therefore, Total interest earned

= Total Deposits - Total Principal

= $68,640.00 - $45,058.29

= $23,581.71To find the ending account balance:

Ending account balance = Total Deposits + Total Interest earned

= $68,640.00 + $23,581.71

= $92,221.71

To find the amount of the ending account balance that comes from deposits:

Amount from deposits

= Total Deposits

= $68,640.00

Therefore, The ending account balance will be $92,221.71.

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A) The experimental probabilities are:

R = 0.45, B = 0.4, and Y = 0.15

From this, we can expect to get a red ball on the next draw.

B) This can happen because the experimental probabilities are bad estimations, or because the balls on the machine are not replaced.

A) The probability of getting each color will be given by the quotient of the number of balls of that color and the total number of balls.

For example, we know that 100 people buy gumballs, and 45 of them got red ones, so the experimental probability of getting a red gumball is:

R = 45/100 = 0.45

40 got a blue ball, so the probability of getting a blue ball is:

B = 40/100 = 0.4

15 got a yellow gumball, so the probability here is:

Y = 15/100 = 0.15

As you can see, the experimental probability of getting a red gumball is 3 times the probability of getting a yellow one. based on that, we can expect that the next gumball out from that machine will be red.

B) So now 10 more people go to the machine, and they get:

7 yellow, 1 red, and 2 blue gumballs.

This clearly does not follow the experimental probability we got above, why this may happen?

There are two main reasons.

First, to get a valuable experimental probability an experiment must be performed a lot of times, 100 is a ratter a small number. So the experimental probability that we got on point A may be a really bad estimation.

On another hand, there is a possibility that the gumballs in the machine are not being replaced. So initially, there is a fixed number of red, yellow, and blue balls.

This would mean that if we remove one red ball on the first try. Then for the next try, the probability of getting a red ball will be smaller (because now the machine has fewer red balls).

Then, because out of the 100 first balls most were red or blue, we can assume that most of the remaining balls on the machine are now yellow, and then the probability of getting a yellow ball is increased.

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Answer:

y = 7

Step-by-step explanation:

The equation: 2y+5=3y-2

-

Solving the equation:

1) We have to move 2y to the other side while also moving the -2 to the other side.

The equation will now be 5+2=3y-2y

2) Now we can add and subtract the values.

So, it'll  be 7 = y.

Therefore, Y is equal to 7.

Step-by-step explanation:

<_________-9_________>

this way

<less than

>greater than

your welcome gimme points

The perimeter of triangle JKL is  determined as 68 units.

The perimeter of triangle JKL is calculated as follows;

The perimeter of triangle JKL is the sum of all the distance round the triangle.

Perimeter = length JK + length LK + length JL

AL = CL = 12

Length LK = CL + CK = 12 + 8 = 20

JA = JB = 14

KB = CK = 8

Length JK = JB = KB = 14 + 8 = 22

Length JL = JA + AL = 14 + 12 = 26

The perimeter of triangle JKL is calculated as;

Perimeter = 20 + 22 + 26

Perimeter = 68 units.

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6.29117647059

This is the answer

Answer: 6.29117647059

Step-by-step explanation:

divide the problem :)

Answer:  the solution for y in terms of x is y = (-1/4)x - 8.

Step-by-step explanation: In order to obtain a solution for y in the given equation of 4y = -x - 32, it is imperative to achieve the isolation of y on a singular side of the equation. To accomplish this task, it is possible to perform division on both sides of the equation by a factor of 4:

The given equation 4y/4 = (-x - 32)/4 can be expressed in an academic manner as follows: The given equation reveals that the quotient of 4y divided by 4 is equivalent to the quotient of the opposite of x added to negative 32, also divided by 4.

Upon performing simplification, the expression on the right-hand side yields:

The equation y = (-1/4)x - 8 can be expressed in an academic manner as follows: The dependent variable y is equivalent to the product of the constant (-1/4) and the independent variable x, with an additional decrement of eight.

Answer:

Paul had 24

Step-by-step explanation:

He has 22 now. Subtract the 10 he just bought for 12, which was half of his original collection.

22-10=12

12×2=24

Step-by-step explanation:

2666 and 2/3 ok try thisyeh

Answer:

1,500 lbs.

Step-by-step explanation:

There are 2000 lbs in 1 ton.

\(\frac{3}{4}\) × \(\frac{2000}{1}\)=     \(\frac{6000}{4}\)

6,000 divided by 4 is 1,500

Answer: 1,500 lbs.

Answer:

also got 136 its right

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

To find the slope, you can use the formula y2-y1/x2-x1. Plugin any set of values. Say 13 is y2, and 5 is y1. 13-5=8. We now have 8/x2-x1. You have to use the x-values of the y-values that you already used. -2 is x2 and 0 is x1. -2-0=-2. 8/-2 = -4.

Answer:

beds in the hospital ≤ 47

Step-by-step explanation:

No more 47 means not greater than 47.

But can be = to 47 or less than it.

In summary, using Z scores and a Z table, we can find that approximately 51% of respondents were married for the first time between the ages of 20 and 30, and an individual married for the first time at the age of 35 is in approximately the 97th percentile.

(a) To calculate the Z score for an observed age of 25.50, we use the formula Z = (X - μ) / σ, where X is the observed value, μ is the mean, and σ is the standard deviation. Substituting the given values, we get Z = (25.50 - 23.33) / 6.13 ≈ 0.36. The Z score tells us that the observed age is approximately 0.36 standard deviations above the mean. (b) To find the observed age associated with a Z score of -0.72, we rearrange the formula and solve for X: X = Z * σ + μ. Substituting the values, we get X = -0.72 * 6.13 + 23.33 ≈ 20.95. Thus, an observed age of approximately 20.95 corresponds to a Z score of -0.72.

(c) To calculate the proportion of respondents married between the ages of 20 and 30, we need to convert the age range to Z scores. The Z score for 20 is (20 - 23.33) / 6.13 ≈ -0.54, and the Z score for 30 is (30 - 23.33) / 6.13 ≈ 1.09. We then calculate the area under the normal distribution curve between these Z scores using a Z-table or a statistical software. This proportion represents the proportion of respondents married for the first time between the ages of 20 and 30.

(d) To determine the percentile rank for an individual married at the age of 35, we need to calculate the area under the normal distribution curve to the left of the corresponding Z score. The Z score for 35 is (35 - 23.33) / 6.13 ≈ 1.90. We then look up the corresponding percentile in a Z-table or use statistical software to find the percentage of the population with a Z score less than 1.90. This percentage represents the percentile rank for an individual married at the age of 35.

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Step-by-step explanation:

y = .10d + .25q

y is the total amount, if you have d dimes and q quarters

We can continue this process until we reach row-echelon form, at which point we can solve for x by back-substitution. We can see that x = 1 is a solution to the system, so the matrix A has rank 1 and there is exactly one solution for x.

The given linear system can be written as:

[1 2 1]

[1 0 1]

[-1 -2 3]

[1 3 -5]

To solve this system using Gauss elimination, we need to create an augmented matrix by adding a new column of ones on the right-hand side of the augmented matrix. The augmented matrix will look like this:

| 1 2 1 | 1 | 1 | -1 -2 3 | 1 3 -5 |

| 1 0 1 | 1 | 0 | -1 | -2 | 3 |

| -1 -2 3 | 1 | 0 | 0 | 0 | 0 |

| 1 3 -5 | 1 | 0 | 0 | 0 | 0 |

To row-reduce the augmented matrix, we can perform Gaussian elimination by adding a multiple of one row to another row until we reach row-echelon form. In row-echelon form, the non-zero entries in each row must be either all on the diagonal or in increasing order.

Starting with the augmented matrix above, we can perform the following steps:

| 1 2 1 | 1 | 1 | -1 -2 3 | 1 3 -5 |

| 1 0 1 | 1 | 0 | -1 | -2 | 3 |

| -1 -2 3 | 1 | 0 | 0 | 0 | 0 |

| 1 3 -5 | 1 | 0 | 0 | 0 | 0 |

| 0 0 0 | 2 | 0 | 0 | 0 | 0 |

| 1 2 1 | 1 | 1 | -1 -2 3 | 1 3 -5 |

| 1 0 1 | 1 | 0 | -1 | -2 | 3 |

| -1 -2 3 | 1 | 0 | 0 | 0 | 0 |

| 1 3 -5 | 1 | 0 | 0 | 0 | 0 |

| 0 0 0 | 1 | 0 | 0 | 0 | 0 |

The first column is already in row-echelon form, so we can move on to the second step. In the second step, we can perform a similar operation to eliminate the last two rows.

| 1 2 1 | 1 | 1 | -1 -2 3 | 1 3 -5 |

| 1 0 1 | 1 | 0 | -1 | -2 | 3 |

| -1 -2 3 | 1 | 0 | 0 | 0 | 0 |

| 1 3 -5 | 1 | 0 | 0 | 0 | 0 |

| 0 0 0 | 0 | 0 | 0 | 0 | 1 |

| 1 2 1 | 1 | 1 | -1 -2 3 | 1 3 -5 |

| 1 0 1 | 1 | 0 | -1 | -2 | 3 |

| -1 -2 3 | 1 | 0 | 0 | 0 | 0 |

| 1 3 -5 | 1 | 0 | 0 | 0 | 0 |

| 0 0 0 | 0 | 0 | 0 | 0 | 1 |

In the third step, we can add a multiple of the first row to the second row to eliminate the last row. The resulting augmented matrix is:

| 1 2 1 | 1 | 1 | -1 -2 3 | 1 3 -5 |

| 1 0 1 | 1 | 0 | -1 | -2 | 3 |

| -1 -2 3 | 1 | 0 | 0 | 0 | 0 |

| 1 3 -5 | 1 | 0 | 0 | 0 | 0 |

| 0 0 0 | 0 | 0 | 0 | 0 | 2 |

We can now add the third row to the second row to eliminate the last row, and the resulting augmented matrix is:

| 1 2 1 | 1 | 1 | -1 -2 3 | 1 3 -5 |

| 1 0 1 | 1 | 0 | -1 | -2 | 3 |

| -1 -2 3 | 1 | 0 | 0 | 0 | 0 |

| 1 3 -5 | 1 | 0 | 0 | 0 | 0 |

| 0 0 0 | 0 | 0 | 0 | 0 | 1 |

The first column is in row-echelon form, so we can perform Gaussian elimination on the remaining columns to solve for x. We can start by adding the second row to the third row to eliminate the first row, resulting in:

| 1 2 1 | 1 | 1 | -1 -2 3 | 1 3 -5 |

| 0 0 1 | 0 | 0 | -1 | -2 | 3 |

| -1 -2 3 | 1 | 0 | 0 | 0 | 0 |

| 1 3 -5 | 1 | 0 | 0 | 0 | 0 |

| 0 0 0 | 0 | 0 | 0 | 0 | 1 |

Next, we can add the third row to the fourth row to eliminate the second row, resulting in:

| 1 2 1 | 1 | 1 | -1 -2 3 | 1 3 -5 |

| 0 0 1 | 0 | 0 | -1 | -2 | 3 |

| -1 -2 3 | 1 | 0 | 0 | 0 | 0 |

| 0 0 0 | 0 | 0 | 0 | 0 | 1 |

We can continue this process until we reach row-echelon form, at which point we can solve for x by back-substitution. We can see that x = 1 is a solution to the system, so the matrix A has rank 1 and there is exactly one solution for x.

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Answer:

The answer should be D, 2,839 millimeters.

If you multiply 96 by 29.574, you get 2,839.

Answer:

you kinda cute ngl...

Step-by-step explanation:

The derivative of f(x) = arccos(x^2) is: f'(x) = -2x / √(1-x^4)

The derivative of f(x) = arccos(x^2), we'll use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. In this case, the outer function is arccos(u) and the inner function is u = x^2.

First, let's find the derivative of the outer function, arccos(u). The derivative of arccos(u) is -1/√(1-u^2). Next, we'll find the derivative of the inner function, x^2. The derivative of x^2 is 2x.

Now we'll apply the chain rule. We have:

f'(x) = (derivative of outer function) * (derivative of inner function)

f'(x) = (-1/√(1-u^2)) * (2x)

Since u = x^2, we'll substitute that back into our equation:

f'(x) = (-1/√(1-x^4)) * (2x)

So, the derivative of f(x) = arccos(x^2) is:

f'(x) = -2x / √(1-x^4)

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